Phys. Rev. E 72, 061103 (2005) [8 pages]Trapping reactions with subdiffusive traps and particles characterized by different anomalous diffusion exponentsSee Also: Erratum Received 26 September 2005; published 9 December 2005 A number of results for reactions involving subdiffusive species, all with the same anomalous exponent γ, have recently appeared in the literature and can often be understood in terms of a subordination principle whereby time t in ordinary diffusion is replaced by tγ. However, very few results are known for reactions involving different species characterized by different anomalous diffusion exponents. Here we study the reaction dynamics of a (sub)diffusive particle surrounded by a sea of (sub)diffusive traps in one dimension. We find rigorous results for the asymptotic survival probability of the particle in most cases, with the exception of the case of a particle that diffuses normally while the anomalous diffusion exponent of the traps is smaller than 2∕3. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.72.061103
DOI:
10.1103/PhysRevE.72.061103
PACS:
82.33.−z, 82.40.−g, 02.50.Ey, 89.75.Da
See AlsoErratum: S. B. Yuste and Katja Lindenberg, Erratum: Trapping reactions with subdiffusive traps and particles characterized by different anomalous diffusion exponents [Phys. Rev. E 72, 061103 (2005)], Phys. Rev. E 73, 039909 (2006). |
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